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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

A boat travels 24 km upstream in 6 h and 20 km downstream in 4 h. then, the speed of a boat in still water and the speed of current are respectively

A) 4.5 km/h and 3 km/h B) 4.5 km/h and 0.5 km/h
C) 4 km/h and 2 km/h 5 km/h and 2 km/h D) 5 km/h and 2 km/h
 
Answer & Explanation Answer: B) 4.5 km/h and 0.5 km/h

Explanation:

Distance travelled by boat in upstream=24km

Time taken = 6 h

Speed of the boat in upstream = 24/6 = 4 km/h

And distance travelled by boat in downstream = 20 km

Time taken = 4h Speed of the boat in downstream = 20/4 km/h = 5 km/h

Now, speed of the boat in still water = 1/2 [ speed of the boat in upstream + speed of the boat in downstream] =1/2 [4 + 5] = 1/2 × 9 = 4.5 km/h

And speed of the current = 1⁄2 [speed of the boat in downstream – speed of the boat in upstream] = 1/2 [5 – 4] = 1/2 × 1 = 0.5 km/h

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

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Q:

A car travels a certain distance at 24 km/h and comes back at 36 km/h. Find the average speed for total journey.

A) 28.8 km/hr B) 30 km/hr
C) 27.6 km/hr D) 31.2 km/hr
 
Answer & Explanation Answer: A) 28.8 km/hr

Explanation:
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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

A man covers a total distance of 100 km on bicycle. For the first 2 hours, the speed was 20 km/hr and for the rest of the journey, it came down to 10 km/hr. The average speed will be

A) 12.5 km/hr B) 13 km/hr
C) 15.5 km/hr D) 20 km/hr
 
Answer & Explanation Answer: A) 12.5 km/hr

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

AB is a diameter of a circle. C is a point on the tangent drawn at A . If AB = 8 cm and AC = 6 cm , then the length of BC is

A) 10 cm B) 14 cm
C) 5 cm D) 7 cm
 
Answer & Explanation Answer: A) 10 cm

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The income of a person is Rs 45000 and his expenditure is Rs 33000. If his income is increased by 22% and expenditure in increased by 11%, then what will be the percentage increase in his savings?

 

 

A) 11 B) 45.75
C) 22.15 D) 52.25
 
Answer & Explanation Answer: D) 52.25

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Filed Under: Percentage
Exam Prep: Bank Exams

2 1789
Q:

The value of aa-b+bb-a is

A) a+b/a-b B) -1
C) 2ab D) 1
 
Answer & Explanation Answer: D) 1

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

In the following question, select the odd word from the given alternatives.

A) Mobile B) Computer
C) Fountain Pen D) Television
 
Answer & Explanation Answer: C) Fountain Pen

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

If √(sec2A - 1)/secA = x, then the value of x is

A) cosecA B) cosA
C) sinA D) tanA
 
Answer & Explanation Answer: C) sinA

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Filed Under: Simplification
Exam Prep: Bank Exams

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